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Finding the Third Proportional to 5,458,172,367.50 and 8,384,420,503.50

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Solution

The third proportional to 5,458,172,367.50 and 8,384,420,503.50 is: 12,879,495,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458,172,367.50 : 8,384,420,503.50 = 8,384,420,503.50 : x
  2. Step 2: Convert to fraction form
    5,458,172,367.50/8,384,420,503.50 = 8,384,420,503.50/x
  3. Step 3: Cross multiply
    5,458,172,367.50x = 8,384,420,503.50 × 8,384,420,503.50
  4. Step 4: Simplify right side
    5,458,172,367.50x = 70,298,507,179,511,193,600
  5. Step 5: Solve for x
    x = 70,298,507,179,511,193,600/5,458,172,367.50
  6. Step 6: Final answer
    x = 12,879,495,634.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.